%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM926+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:17:37 PM UTC 2026
% Result : Theorem 7.41s 2.05s
% Output : Refutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 29 unt; 0 def)
% Number of atoms : 75 ( 49 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 21 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 42 ( 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,axiom,
! [X0,X1] : ti(int,legendre(X0,X1)) = legendre(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Residues_OLegendre_res) ).
fof(f70,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_v_t_____res) ).
fof(f71,axiom,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(f72,axiom,
( t = one_one(int)
=> ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f73,axiom,
( ord_less(int,one_one(int),t)
=> ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f93,axiom,
! [X0,X1] :
( ord_less(int,X0,X1)
<=> ( ord_less_eq(int,X0,X1)
& ti(int,X0) != ti(int,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_zless__le) ).
fof(f157,axiom,
! [X0] : number_number_of(int,X0) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_number__of__is__id) ).
fof(f197,axiom,
! [X0] : bit0(X0) = plus_plus(int,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_Bit0__def) ).
fof(f222,axiom,
! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_Bit1__def) ).
fof(f351,axiom,
legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = one_one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096) ).
fof(f653,conjecture,
? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f654,negated_conjecture,
~ ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(negated_conjecture,[status(cth)],[f653]) ).
fof(f696,plain,
( ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))
| t != one_one(int) ),
inference(ennf_transformation,[],[f72]) ).
fof(f697,plain,
( ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))
| ~ ord_less(int,one_one(int),t) ),
inference(ennf_transformation,[],[f73]) ).
fof(f1117,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(ennf_transformation,[],[f654]) ).
fof(f1131,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))))
| t != one_one(int) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f696]) ).
fof(f1132,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))))
| ~ ord_less(int,one_one(int),t) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f697]) ).
fof(f1134,plain,
! [X0,X1] :
( ( ord_less(int,X0,X1)
| ~ ord_less_eq(int,X0,X1)
| ti(int,X0) = ti(int,X1) )
& ( ( ord_less_eq(int,X0,X1)
& ti(int,X0) != ti(int,X1) )
| ~ ord_less(int,X0,X1) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f1135,plain,
! [X0,X1] :
( ( ord_less(int,X0,X1)
| ~ ord_less_eq(int,X0,X1)
| ti(int,X0) = ti(int,X1) )
& ( ( ord_less_eq(int,X0,X1)
& ti(int,X0) != ti(int,X1) )
| ~ ord_less(int,X0,X1) ) ),
inference(flattening,[],[f1134]) ).
fof(f1365,plain,
! [X0,X1] : legendre(X0,X1) = ti(int,legendre(X0,X1)),
inference(cnf_transformation,[],[f59]) ).
fof(f1381,plain,
t = ti(int,t),
inference(cnf_transformation,[],[f70]) ).
fof(f1382,plain,
ord_less_eq(int,one_one(int),t),
inference(cnf_transformation,[],[f71]) ).
fof(f1383,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))))
| t != one_one(int) ),
inference(cnf_transformation,[],[f1131]) ).
fof(f1384,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))))
| ~ ord_less(int,one_one(int),t) ),
inference(cnf_transformation,[],[f1132]) ).
fof(f1406,plain,
! [X0,X1] :
( ord_less(int,X0,X1)
| ~ ord_less_eq(int,X0,X1)
| ti(int,X0) = ti(int,X1) ),
inference(cnf_transformation,[],[f1135]) ).
fof(f1497,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(cnf_transformation,[],[f157]) ).
fof(f1559,plain,
! [X0] : bit0(X0) = plus_plus(int,X0,X0),
inference(cnf_transformation,[],[f197]) ).
fof(f1584,plain,
! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
inference(cnf_transformation,[],[f222]) ).
fof(f1765,plain,
one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f351]) ).
fof(f2152,plain,
! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(cnf_transformation,[],[f1117]) ).
fof(f2157,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))
| t != one_one(int) ),
inference(definition_unfolding,[],[f1383,f1559,f1559,f1584,f1559,f1584,f1559,f1584]) ).
fof(f2158,plain,
( plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK3,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))
| ~ ord_less(int,one_one(int),t) ),
inference(definition_unfolding,[],[f1384,f1559,f1559,f1584,f1559,f1584,f1559,f1584]) ).
fof(f2320,plain,
one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
inference(definition_unfolding,[],[f1765,f1559,f1559,f1584]) ).
fof(f2375,plain,
! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,X1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
inference(definition_unfolding,[],[f2152,f1559,f1584,f1559,f1584,f1559,f1559,f1584]) ).
fof(f2473,plain,
! [X0,X1] :
( ti(int,X0) = number_number_of(int,X1)
| ord_less(int,X0,X1)
| ~ ord_less_eq(int,X0,X1) ),
inference(forward_demodulation,[],[f1406,f1497]) ).
fof(f2491,plain,
~ ord_less(int,one_one(int),t),
inference(forward_subsumption_resolution,[],[f2158,f2375]) ).
fof(f2492,plain,
t != one_one(int),
inference(forward_subsumption_resolution,[],[f2157,f2375]) ).
fof(f2493,plain,
t = number_number_of(int,t),
inference(forward_demodulation,[],[f1381,f1497]) ).
fof(f2504,plain,
! [X0,X1] : legendre(X0,X1) = number_number_of(int,legendre(X0,X1)),
inference(forward_demodulation,[],[f1365,f1497]) ).
fof(f2563,plain,
! [X0,X1] :
( ~ ord_less_eq(int,X0,X1)
| ord_less(int,X0,X1)
| number_number_of(int,X0) = number_number_of(int,X1) ),
inference(forward_demodulation,[],[f2473,f1497]) ).
fof(f11512,plain,
( ord_less(int,one_one(int),t)
| number_number_of(int,t) = number_number_of(int,one_one(int)) ),
inference(resolution,[],[f2563,f1382]) ).
fof(f11519,plain,
number_number_of(int,t) = number_number_of(int,one_one(int)),
inference(forward_subsumption_resolution,[],[f11512,f2491]) ).
fof(f11521,plain,
t = number_number_of(int,one_one(int)),
inference(forward_demodulation,[],[f11519,f2493]) ).
fof(f23070,plain,
one_one(int) = number_number_of(int,one_one(int)),
inference(superposition,[],[f2504,f2320]) ).
fof(f23071,plain,
t = one_one(int),
inference(forward_demodulation,[],[f23070,f11521]) ).
fof(f23104,plain,
$false,
inference(forward_subsumption_resolution,[],[f23071,f2492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM926+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 21:44:37 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.41/2.05 % (3905421)Detected formulas, will run a generic FOF schedule.
% 7.41/2.05 % (3905427)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2195961718:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.41/2.05 % (3905430)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3651839171:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.41/2.05 % (3905429)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=941301560:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.41/2.05 % (3905426)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=938371366:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.41/2.05 % (3905428)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4021114143:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.41/2.05 % (3905432)dis-21_1_sil=8000:lcm=predicate:random_seed=3775902471:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.41/2.05 % (3905431)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1684534635:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.41/2.05 % (3905429)Instruction limit reached!
% 7.41/2.05 % (3905429)------------------------------
% 7.41/2.05 % (3905429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905429)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905429)Termination reason: Instruction limit
% 7.41/2.05 % (3905429)Termination phase: Saturation
% 7.41/2.05 % (3905429)Time elapsed: 0.052 s
% 7.41/2.05 % (3905429)Peak memory usage: 90 MB
% 7.41/2.05 % (3905429)Instructions burned: 112 (million)
% 7.41/2.05 % (3905430)Instruction limit reached!
% 7.41/2.05 % (3905430)------------------------------
% 7.41/2.05 % (3905430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905430)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905430)Termination reason: Instruction limit
% 7.41/2.05 % (3905430)Termination phase: Saturation
% 7.41/2.05 % (3905430)Time elapsed: 0.068 s
% 7.41/2.05 % (3905430)Peak memory usage: 89 MB
% 7.41/2.05 % (3905430)Instructions burned: 120 (million)
% 7.41/2.05 % (3905432)Instruction limit reached!
% 7.41/2.05 % (3905432)------------------------------
% 7.41/2.05 % (3905432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905432)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905432)Termination reason: Instruction limit
% 7.41/2.05 % (3905432)Termination phase: Saturation
% 7.41/2.05 % (3905432)Time elapsed: 0.069 s
% 7.41/2.05 % (3905432)Peak memory usage: 90 MB
% 7.41/2.05 % (3905432)Instructions burned: 129 (million)
% 7.41/2.05 % (3905431)Instruction limit reached!
% 7.41/2.05 % (3905431)------------------------------
% 7.41/2.05 % (3905431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905431)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905431)Termination reason: Instruction limit
% 7.41/2.05 % (3905431)Termination phase: Saturation
% 7.41/2.05 % (3905431)Time elapsed: 0.079 s
% 7.41/2.05 % (3905431)Peak memory usage: 90 MB
% 7.41/2.05 % (3905431)Instructions burned: 140 (million)
% 7.41/2.05 % (3905440)lrs+10_1_sil=8000:sp=occurrence:random_seed=4114829349:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.41/2.05 % (3905441)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4243848798:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.41/2.05 % (3905443)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1802790633:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.41/2.05 % (3905442)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3214632740:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.41/2.05 % (3905441)Instruction limit reached!
% 7.41/2.05 % (3905441)------------------------------
% 7.41/2.05 % (3905441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905441)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905441)Termination reason: Instruction limit
% 7.41/2.05 % (3905441)Termination phase: Saturation
% 7.41/2.05 % (3905441)Time elapsed: 0.089 s
% 7.41/2.05 % (3905441)Peak memory usage: 90 MB
% 7.41/2.05 % (3905441)Instructions burned: 157 (million)
% 7.41/2.05 % (3905440)Instruction limit reached!
% 7.41/2.05 % (3905440)------------------------------
% 7.41/2.05 % (3905440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905440)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905440)Termination reason: Instruction limit
% 7.41/2.05 % (3905440)Termination phase: Saturation
% 7.41/2.05 % (3905440)Time elapsed: 0.168 s
% 7.41/2.05 % (3905440)Peak memory usage: 91 MB
% 7.41/2.05 % (3905440)Instructions burned: 286 (million)
% 7.41/2.05 % (3905443)Instruction limit reached!
% 7.41/2.05 % (3905443)------------------------------
% 7.41/2.05 % (3905443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905443)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905443)Termination reason: Instruction limit
% 7.41/2.05 % (3905443)Termination phase: Saturation
% 7.41/2.05 % (3905443)Time elapsed: 0.152 s
% 7.41/2.05 % (3905443)Peak memory usage: 92 MB
% 7.41/2.05 % (3905443)Instructions burned: 249 (million)
% 7.41/2.05 % (3905442)Instruction limit reached!
% 7.41/2.05 % (3905442)------------------------------
% 7.41/2.05 % (3905442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905442)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905442)Termination reason: Instruction limit
% 7.41/2.05 % (3905442)Termination phase: Saturation
% 7.41/2.05 % (3905442)Time elapsed: 0.171 s
% 7.41/2.05 % (3905442)Peak memory usage: 92 MB
% 7.41/2.05 % (3905442)Instructions burned: 325 (million)
% 7.41/2.05 % (3905448)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3159959093:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.41/2.05 % (3905449)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1258102216:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.41/2.05 % (3905450)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3618261915:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.41/2.05 % (3905451)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2252670045:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.41/2.05 % (3905450)Instruction limit reached!
% 7.41/2.05 % (3905450)------------------------------
% 7.41/2.05 % (3905450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905450)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905450)Termination reason: Instruction limit
% 7.41/2.05 % (3905450)Termination phase: Saturation
% 7.41/2.05 % (3905450)Time elapsed: 0.059 s
% 7.41/2.05 % (3905450)Peak memory usage: 90 MB
% 7.41/2.05 % (3905450)Instructions burned: 114 (million)
% 7.41/2.05 % (3905448)Instruction limit reached!
% 7.41/2.05 % (3905448)------------------------------
% 7.41/2.05 % (3905448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905448)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905448)Termination reason: Instruction limit
% 7.41/2.05 % (3905448)Termination phase: Saturation
% 7.41/2.05 % (3905448)Time elapsed: 0.136 s
% 7.41/2.05 % (3905448)Peak memory usage: 91 MB
% 7.41/2.05 % (3905448)Instructions burned: 296 (million)
% 7.41/2.05 % (3905451)Refutation not found, incomplete strategy
% 7.41/2.05 % (3905451)------------------------------
% 7.41/2.05 % (3905451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905451)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905451)Termination reason: Refutation not found, incomplete strategy
% 7.41/2.05 % (3905451)Time elapsed: 0.030 s
% 7.41/2.05 % (3905451)Peak memory usage: 89 MB
% 7.41/2.05 % (3905451)Instructions burned: 65 (million)
% 7.41/2.05 % (3905456)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1094341366:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.41/2.05 % (3905457)lrs+10_1_sil=8000:sp=occurrence:random_seed=225564119:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.41/2.05 % (3905456)Instruction limit reached!
% 7.41/2.05 % (3905456)------------------------------
% 7.41/2.05 % (3905456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.41/2.05 % (3905456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/2.05 % (3905456)CaDiCaL version: 2.1.3
% 7.41/2.05 % (3905456)Termination reason: Instruction limit
% 7.41/2.05 % (3905456)Termination phase: Saturation
% 7.41/2.05 % (3905456)Time elapsed: 0.058 s
% 7.41/2.05 % (3905456)Peak memory usage: 90 MB
% 7.41/2.05 % (3905456)Instructions burned: 116 (million)
% 7.41/2.05 % (3905451)------------------------------
% 7.41/2.05 % (3905451)------------------------------
% 7.41/2.05 % (3905460)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3272838700:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.41/2.05 % (3905427)First to succeed.
% 7.41/2.05 % (3905427)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3905421"
% 7.41/2.05 % (3905461)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1424988073:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.41/2.05 % (3905427)Refutation found. Thanks to Tanya!
% 7.41/2.05 % SZS status Theorem for theBenchmark
% 7.41/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 8.85/2.24 % (3905427)------------------------------
% 8.85/2.24 % (3905427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.24 % (3905427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.24 % (3905427)CaDiCaL version: 2.1.3
% 8.85/2.24 % (3905427)Termination reason: Refutation
% 8.85/2.24 % (3905427)Time elapsed: 0.893 s
% 8.85/2.24 % (3905427)Peak memory usage: 143 MB
% 8.85/2.24 % (3905427)Instructions burned: 2472 (million)
% 8.85/2.24 % (3905427)------------------------------
% 8.85/2.24 % (3905427)------------------------------
% 8.85/2.24 % (3905421)Success in time 1.191 s
% 8.85/2.24 % Vampire exiting
%------------------------------------------------------------------------------